Differentiate w.r.t. t
-12t^{2}
Evaluate
-4t^{3}
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\frac{\mathrm{d}}{\mathrm{d}t}(-4t^{3})
Combine -t^{3} and -3t^{3} to get -4t^{3}.
3\left(-4\right)t^{3-1}
The derivative of ax^{n} is nax^{n-1}.
-12t^{3-1}
Multiply 3 times -4.
-12t^{2}
Subtract 1 from 3.
-4t^{3}
Combine -t^{3} and -3t^{3} to get -4t^{3}.
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